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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com
after having applied
Grammar usage guide and real-world examplesUSAGE SUMMARY
The phrase "after having applied" is correct and usable in written English.
It can be used to indicate that an action has been completed prior to another action or event. Example: "After having applied the new software update, the system ran more efficiently."
✓ Grammatically correct
Science
News & Media
Wiki
Alternative expressions(13)
Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Human-verified examples from authoritative sources
Exact Expressions
23 human-written examples
(b) Record of original and corrected distance estimates after having applied the PNMC technique.HistogramEstimators.HistogramEstimators
Then the experiments in "real-world" conditions are carried out after having applied a proper protection on the fibers.
This paper presents THOMAS as well as the results obtained after having applied the system to a case study.
Minimum and maximum values, after having applied the error or noise models, of the images are limited to [0,…,255].
After having applied PHEEMD, inhomogeneous illumination correction is carried out by subtracting the residual image from original image using (1). .
After having applied PHEEMD, noise removing is carried out by eliminating the first two IMFs according to a criterion of RMSE minimization.
Human-verified similar examples from authoritative sources
Similar Expressions
36 human-written examples
In another case, a letter summoning Errol Taylor to be sworn in as a citizen on May 14 arrived at his Flatbush home more than a year after his interview and two years after he had applied for citizenship.
News & Media
Most visit the universities after they have applied and lots change their minds.
News & Media
You can hold your finger on the Preview button to see the photo before and after you've applied your chosen effect.
News & Media
Images have been broadcast of Tobias Ellwood formerly an Army officer, now a Conservative M.P. and Foreign Office Minister with blood on his face and hands, after he had applied mouth-to-mouth resuscitation to the policeman who had been knifed.
News & Media
The latter, which happened early in my career, was particularly baffling and happened after I had applied there for work experience and openly listed the blog on my CV – would anyone really want to work for nothing somewhere they disrespect?
News & Media
Expert writing Tips
Best practice
Use "after having applied" when you want to clearly emphasize that the application or process was fully completed before the subsequent action took place. This can be especially useful in technical or scientific writing for clarity.
Common error
While grammatically correct, "after having applied" can sometimes sound overly formal or verbose. In many cases, simply using "after applying" is sufficient and more concise. Consider the context and choose the phrasing that best balances clarity and brevity.
Source & Trust
81%
Authority and reliability
4.1/5
Expert rating
Real-world application tested
Linguistic Context
The phrase "after having applied" functions as an adverbial phrase, modifying a verb or clause to indicate the temporal sequence of events. It specifies that an action occurred subsequent to the completion of an application or a specific process. This is supported by the examples provided by Ludwig, which often appear in scientific and technical contexts.
Frequent in
Science
60%
News & Media
25%
Wiki
15%
Less common in
Formal & Business
0%
Encyclopedias
0%
Social Media
0%
Ludwig's WRAP-UP
In summary, "after having applied" is a grammatically sound phrase used to indicate that an action follows the completion of an application or process. Ludwig confirms that while correct, its formal tone makes it more suitable for scientific, technical, or legal writing, as indicated by its frequent use in scientific journals and reports. While "after having applied" is more emphatic, "after applying" often suffices and offers greater conciseness. When aiming for precision and emphasizing sequence, "after having applied" is appropriate; otherwise, a simpler phrasing might be preferred.
More alternative expressions(6)
Phrases that express similar concepts, ordered by semantic similarity:
after applying
Simplifies the original phrase by removing "having", making it more concise.
subsequent to applying
Uses a more formal preposition to indicate sequence.
following the application of
Replaces the gerund phrase with a noun phrase, increasing formality.
following the implementation of
Uses "implementation" to highlight the act of putting something into effect.
upon completion of the application
Formal and emphasizes the moment the application finishes.
once the application was complete
Emphasizes the completion of the application process.
once the application has been done
A more colloquial alternative emphasizing the finished task.
with the application completed
Highlights the state of completion before the next action.
post-application
A concise and modern alternative, particularly suitable for technical contexts.
after the procedure
Generalizes the phrase to apply to any type of procedure or step.
FAQs
How can I use "after having applied" in a sentence?
The phrase "after having applied" is used to indicate that something occurred subsequent to the completion of an application or process. For example, "After having applied the patch, the system was restarted".
What can I say instead of "after having applied"?
You can use alternatives like "after applying", "following the application of", or "subsequent to applying", depending on the desired level of formality and emphasis.
Which is correct, "after having applied" or "after applying"?
Both "after having applied" and "after applying" are grammatically correct. "After having applied" emphasizes the completion of the first action before the second action occurs. The simpler "after applying" is often preferred for its conciseness.
Is "after having applied" formal or informal?
The phrase "after having applied" is generally considered more formal than "after applying". The use of "having" adds a degree of emphasis on the completion of the initial action, making it suitable for technical, scientific, or legal contexts where precision is important.
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Table of contents
Usage summary
Human-verified examples
Expert writing tips
Linguistic context
Ludwig's wrap-up
Alternative expressions
FAQs
Source & Trust
81%
Authority and reliability
4.1/5
Expert rating
Real-world application tested